215k views
0 votes
If f(x)=-4and g(x)=1/x

1 Answer

1 vote

Final answer:

The question deals with mathematical functions, the concept of a negative exponent representing a reciprocal, and the relationship between inversely proportional variables.

Step-by-step explanation:

The student's question pertains to mathematical functions, specifically the constant function f(x)=-4 and the reciprocal function g(x)=1/x. When dealing with inverse operations such as division by x to the power of a negative, it's important to recall that a negative exponent indicates a reciprocal.

For example, x-n = 1/xn. This is consistent with the rules of exponents, where subtracting exponents when dividing terms with the same base or a product of a term raised to zero always results in one, as in 34 ÷ 34 = 30 = 1.

In the context of the figures and discussions provided, we observe the relationship between variables such that when one quantity decreases, the other increases to maintain a constant product.

This reciprocal relationship is fundamental in various equations and functions where variables are inversely proportional.

User Rasheda
by
9.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories